Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Solve the problem. Find the general solution of the homogen X1 + 2x2 3x3 = 0 4x1 + 7x29x3 = 0 -X1 - 3x2 + 6x3 = 0 Ox1 x2 = x3 3 x3 0 x1 -3 x2 = x3 3 1 x3 Ox1 x2 = x3 Ox1 -3 3 1 3 x2 = X3 -3 1 x3 2

Solve the problem. Find the general solution of the homogen X1 + 2x2 3x3 = 0 4x1 + 7x29x3 = 0 -X1 - 3x2 + 6x3 = 0 Ox1 x2 = x3 3 x3 0 x1 -3 x2 = x3 3 1 x3 Ox1 x2 = x3 Ox1 -3 3 1 3 x2 = X3 -3 1 x3 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
I’m not sure if that’s correct or not can you make sure for me
### Solving Homogeneous System of Linear Equations To solve the problem, we need to find the general solution of the homogeneous system of linear equations given below. The solution should be provided as a vector. #### System of Linear Equations: \[ \begin{aligned} &x_1 + 2x_2 - 3x_3 = 0 \\ &4x_1 + 7x_2 - 9x_3 = 0 \\ &-x_1 - 3x_2 + 6x_3 = 0 \\ \end{aligned} \] #### Answer Choices: 1. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} -3 \\ 3 \\ 0 \\ \end{array} \right] \] 2. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} -3 \\ 3 \\ 1 \\ \end{array} \right] \] (Correct Answer) 3. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = \left[ \begin{array}{c} -3 \\ 3 \\ 1 \\ \end{array} \right] \] 4. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} 3 \\ -3 \\ 1 \\ \end{array} \right] \] Choose the correct vector that represents the general solution to the given system of linear equations.
Transcribed Image Text:### Solving Homogeneous System of Linear Equations To solve the problem, we need to find the general solution of the homogeneous system of linear equations given below. The solution should be provided as a vector. #### System of Linear Equations: \[ \begin{aligned} &x_1 + 2x_2 - 3x_3 = 0 \\ &4x_1 + 7x_2 - 9x_3 = 0 \\ &-x_1 - 3x_2 + 6x_3 = 0 \\ \end{aligned} \] #### Answer Choices: 1. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} -3 \\ 3 \\ 0 \\ \end{array} \right] \] 2. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} -3 \\ 3 \\ 1 \\ \end{array} \right] \] (Correct Answer) 3. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = \left[ \begin{array}{c} -3 \\ 3 \\ 1 \\ \end{array} \right] \] 4. \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ \end{array} \right] = x_3 \left[ \begin{array}{c} 3 \\ -3 \\ 1 \\ \end{array} \right] \] Choose the correct vector that represents the general solution to the given system of linear equations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS